2k citations
- Joint Institute for Nuclear ResearchRU911 papers
- GSI Helmholtz Centre for Heavy Ion ResearchDE832 papers
- Central China Normal UniversityCN772 papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT768 papers
- Centre National de la Recherche ScientifiqueFR752 papers
- Università degli Studi del Piemonte Orientale “Amedeo Avogadro”IT745 papers
- Budker Institute of Nuclear PhysicsRU684 papers
- Johannes Gutenberg University MainzDE677 papers
- COMSATS University IslamabadPK669 papers
- University of TurinIT623 papers
- National Centre for Nuclear ResearchPL608 papers
- Ruhr University BochumDE597 papers
10 papers · 2 filters
Identification of the Polaron measure in strong coupling and the Pekar variational formula
Chiranjib Mukherjee, S. R. S. Varadhan
The path measure corresponding to the Fröhlich Polaron appearing in quantum statistical mechanics is defined as the tilted measure $$ \widehat{\mathbb P}_{\varepsilon,T}= \frac{1}{…
An infinite-dimensional helix invariant under spherical projections
Zakhar Kabluchko
We classify all subsets of the projective Hilbert space with the following property: for every point , the spherical projection of to the…
Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations
Sebastian Becker, Benjamin Gess, Arnulf Jentzen +1
Optimal upper and lower error estimates for strong full-discrete numerical approximations of the stochastic heat equation driven by space-time white noise are obtained. In particul…
Distances between zeroes and critical points for random polynomials with i.i.d. zeroes
Zakhar Kabluchko, Hauke Seidel
Consider a random polynomial of degree whose zeroes are i.i.d. random variables in the complex plane. We study the pairing between the zeroes of $Q…
Fluctuation and Rate of Convergence for the Stochastic Heat Equation in Weak Disorder
Francis Comets, Clément Cosco, Chiranjib Mukherjee
We consider the stochastic heat equation on with multiplicative space-time white noise noise smoothed in space. For and small noise intensity, the solution…
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations
Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse +2
For a long time it is well-known that high-dimensional linear parabolic partial differential equations (PDEs) can be approximated by Monte Carlo methods with a computational effort…